﻿ 一种人工情绪模型及其电商计算实验应用
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 智能系统学报  2019, Vol. 14 Issue (3): 508-517  DOI: 10.11992/tis.201712021 0

### 引用本文

WANG Hongli. An artificial emotion model and its application in the computation experiment of e-commerce[J]. CAAI Transactions on Intelligent Systems, 2019, 14(3): 508-517. DOI: 10.11992/tis.201712021.

### 文章历史

An artificial emotion model and its application in the computation experiment of e-commerce
WANG Hongli
School of Economics and Trade, Fujian Jiangxia University, Fuzhou 350108, China
Abstract: From the viewpoint of the calculation experiments of the artificial system in the electronic commerce (e-commerce), this study aims to propose an artificial emotion model based on state analogy hypothesis, which describes the generation, enhancement, fading, and vanishing process method of emotion. It studies the calculation method of external stimulation, emotional intensity, and internal driving force; simulates and analyzes the model; and, constructs the model of emotional behavior relationship of e-commerce customer shopping based on this artificial emotion model. The model is applied to the computational and experimental analysis of customers shopping in e-commerce. The results show that this model can be applied to computational experiments of customer shopping in complex artificial system of e-commerce.
Key words: electronic commerce    computation experiment    artificial emotional model    external stimulation    emotional intensity    driving force    simulation analysis    complex artificial system

1 人工情绪模型 1.1 人工情绪的状态类比假说

1.2 外部刺激与心理动能

 $E{\rm{ = }}\frac{1}{a}{\rm{ln}}N{\rm{ + }}\frac{1}{b}$ (1)

 $\begin{split} &E' = {E_p} - {E_n} = \\ &\left( {\frac{1}{a}{\rm{ln}}{N_p} + \frac{1}{b}} \right) - \left( {\frac{1}{a}\ln {N_n} + \frac{1}{b}} \right)= \frac{1}{a}{\rm{ln}}\frac{{{N_p}}}{{{N_n}}} \end{split}$ (2)

1.3 情绪源动能与情绪强度

 $E' = \frac{1}{2}k{v_0}^2$ (3)

 $y = {v_0}t$ (4)

 $v = {v_{\rm{0}}}{\rm{ - }}\left( {{{\textit{λ}} _{\rm{0}}}t + \frac{1}{2}\Delta {{\textit{λ}} _1}{t^{\rm{2}}}} \right)$ (5)
 $y = {v_{\rm{0}}}t{\rm{ - }}\left( {\frac{1}{2}{{\textit{λ}} _0}{t^{\rm{2}}} + \frac{1}{6}\Delta {{\textit{λ}}_1}{t^{\rm{3}}}} \right)$ (6)
 Download: 图 2 人工情绪的生消 Fig. 2 Birth and elimination of artificial emotion

 $v = {{\textit{λ}} _0}\left( {t - {t_1}} \right) + \Delta {{\textit{λ}} _1}{t_1}\left( {t - {t_1}} \right) - \frac{1}{2}\Delta {{\textit{λ}} _2}\left( {{t^2} - {t_1}^2} \right)$ (7)
 $\begin{split} y = & { - \frac{1}{6}\Delta {{\textit{λ}}_2}\left( {{t^3} - {t_1}^3} \right) + \left( {\frac{1}{2}\Delta {{\textit{λ}}_1}{t_1} + \frac{1}{2}{{\textit{λ}} _0}} \right)\left( {{t^2} - {t_1}^2} \right)} -\\ & { \left( {{\lambda _0}{t_1} + \Delta {{\textit{λ}} _1}{t_1}^2 + \frac{1}{2}\Delta {{\textit{λ}} _2}{t_1}^2} \right)\left( {t - {t_1}} \right)} \end{split}$ (8)

1.4 情绪强度与内部驱动力关系

(内部)驱动力是动机概念的早期称谓，指生命体由生理需求所引起的一种紧张状态，它能激发或驱动生命体实施行为满足需求[31]。也有研究认为，驱动力代表人采取某种行为的意志。情绪产生内部驱动力 z，在有情绪强度 $y$ 刺激的情况下，将以 $\beta$ 逐渐增强，在没有情绪刺激的情况下将以 $\alpha$ 逐渐消退，参考文献[32]它们之间微分方程表示为

 $\frac{{{\rm{d}}{\textit{z}}}}{{{\rm{d}}t}} = \left( {{\textit{z}} + \gamma } \right)\left( {{\rm{ - }}\alpha + \beta y} \right)$ (9)

1.5 同源同标组合情绪与情绪维度

 ${{P}} = \left( {{{{p}}_1},{{{p}}_2}, \cdots ,{{{p}}_n}} \right)$ (10)

 ${{{E}}' \times \left( {{{{p}}_1},{{{p}}_2}, \cdots ,{{{p}}_n}} \right)} { = \left( {{{E}}'{{{p}}_1},{{E}}'{{{p}}_2}, \cdots ,{{E}}'{{{p}}_n}} \right)}$ (11)

 $\sum\limits_{i = 1}^n {{{{p}}_i} = 1}$ (12)

1.6 人工情绪的模拟分析

1.6.1 单一情绪模拟分析

1)正面和负面刺激的相对比值(PNRV)的影响

 Download: 图 3 不同的正面和负面刺激的相对比值(PNRV)下情绪 速度v变化模拟 Fig. 3 Simulating the change in the emotional velocity (v) under relative ratio of different positive and negative stimuli (PNRV)
 Download: 图 4 不同的正面和负面刺激的相对比值(PNRV)下情绪 强度y变化模拟 Fig. 4 Simulating the change in the emotional intensity (y) under relative ratio of different positive and negative stimuli (PNRV)

 Download: 图 5 不同的正面和负面刺激的相对比值(PNRV)下内驱 力z变化模拟 Fig. 5 Simulating the change in the driving force (z) under relative ratio of different positive and negative stimuli (PNRV)

2)人工情绪调节的影响

 Download: 图 6 情绪调节对情绪强度和驱动力的影响 Fig. 6 Effect of the emotion regulation on emotional intensity and driving force
1.6.2 组合情绪模拟分析

 Download: 图 7 一种刺激产生组合情绪情境下的情绪强度模拟 Fig. 7 Simulating the emotion intensity under a stimulus producing combined emotion
 Download: 图 8 一种刺激产生组合情绪情境下的驱动力模拟 Fig. 8 Simulating the driving force under a stimulus producing combined emotion
2 电商顾客购物的计算实验分析

2.1 电商顾客购物的人工情绪−行为影响关系模型

 Download: 图 9 电商顾客购物的人工情绪−行为影响关系 Fig. 9 Artificial emotion-behavior relation in customers shopping on e-commerce
2.2 计算实验分析

1)基本情境假定与分析

 Download: 图 10 电商顾客购物的基本情境计算实验分析 Fig. 10 Analyzing the e-commerce customer shopping in basic situation

2)组合情绪与情绪维度影响分析

 Download: 图 11 电商顾客购物的从属情绪影响分析 Fig. 11 Analyzing the subordinate emotional impact on customer shopping of electric business

3)主导情绪调节的影响分析